Pregled bibliografske jedinice broj: 1048610
A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set
A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set // Journal of computational and applied mathematics, 375 (2020), 112791, 7 doi:10.1016/j.cam.2020.112791 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1048610 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A necessary and sufficient criterion for the
existence of the global minima of a continuous
lower bounded function on a noncompact set
Autori
Jukić, Dragan
Izvornik
Journal of computational and applied mathematics (0377-0427) 375
(2020);
112791, 7
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
global minimizer ; existence level ; nonlinear regression
Sažetak
In this paper, we provide a necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function defined on a noncompact set. Our criterion is based on a new existence level introduced in this paper that describes the behavior of the function as its argument approaches the extended boundary of the minimization domain. Some examples are included to illustrate the efficiency of our criterion.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Dragan Jukić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
